| Euclides - 1853 - 146 pages
...number of lines meeting in one point are together equal to four right angles. PROP. XVI. THEOREM. Jf one side of a triangle be produced, the exterior angle...let its side BC be produced to D, the exterior angle ACL is greater than either of the interior opposite angles CBA, BAC. A Bisect (I. 10.) AC in. E, join... | |
| Euclides - Geometry - 1853 - 176 pages
...lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. — THEOREM. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. LET ab С be a triangle, and let its side b С be produced to d, the exterior angle a С d is greater than... | |
| Euclid, John Playfair - Geometry - 1853 - 336 pages
...of straight linesmeeting in one point, are together equal to four right angles... PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater thai, either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced... | |
| Euclides - 1855 - 270 pages
...angles be bisected, the bisecting lines are ¡none and the same straight line. PROP. XVI. THEOREM. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let AB С be a triangle, and let its side B С be produced to D. The exterior angle A СD is greater than... | |
| Robert Potts - 1855 - 1050 pages
...given point there can be drawn to a straight Hoe only two straight lines equal to one another. 10. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 12. If a straight line be divided into two equal and also into two unequal parts; the squares of the... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...of the base equal to one another, and likewise those which are terminated in the other extremity. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 4. If from the ends of the side of a triangle, there be drawn two straight lines to a point within... | |
| Euclides - 1856 - 168 pages
...ACE, DBC are together equal to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three angles of every triangle are together... | |
| 1857 - 400 pages
...triangles upon the same base and upon the same side of it, are between the same parallels. Quest. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Quest. 4. The greater angle of every triangle is opposite to the greater side. SECTION VI. — GRAMMAR.... | |
| Euclides - 1858 - 248 pages
...angle in the other. Ax. 1. Magnitudes which are equal to the same, are equal to each other. P. 16. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. EXP. Hyp. 1. „ 2. Concl. 1. „ 2. In As ABC, DBF, let L ABC = L DBF, and L ACB = L DFE; also let... | |
| War office - 1858 - 578 pages
...are there in 316 ? Find by logarithms — (1) (3-1416)4 (2) 3-1416 X -045 2-856 «. " Euclid. 1 If a side of a triangle be produced the exterior angle is greater than either of the interior and opposite angles. 2. Define a square. Describe a square on a given straight line. What is Euclid's... | |
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